document.write( "Question 164818: write an equation of the line that passes through (1,6) and is parallel to the line x-y=4. \n" ); document.write( "

Algebra.Com's Answer #121446 by Mathtut(3670) $\"\"$ $\"About$

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since we know that parallel lines have equal slopes lets write the equation in y=mx+b format which would be y=x-4 so we know that the slope is one(1). when you have a point and the slope of a line, you can use the point slope formula which is y-k=m(x-h) where (h,k) is a point on the line. \r
\n" ); document.write( "\n" ); document.write( "so we have (1,6) as that point on the line and a slope of 1 so we can write the following equation based on the point slope formula. y-6=1(x-1) simplifying we get y=1x+5 therefore\r
\n" ); document.write( "\n" ); document.write( "Answer is y=x+5 \n" ); document.write( "

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